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Finding the Fourth Proportional to 176,013.84, 242,835.45 and 115,617

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Solution

The fourth proportional to 176,013.84, 242,835.45 and 115,617 is: 159,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,013.84 : 242,835.45 = 115,617 : x
  2. Step 2: Convert to fraction form
    176,013.84/242,835.45 = 115,617/x
  3. Step 3: Cross multiply
    176,013.84x = 242,835.45 × 115,617
  4. Step 4: Simplify right side
    176,013.84x = 28,075,906,222.65
  5. Step 5: Solve for x
    x = 28,075,906,222.65/176,013.84
  6. Step 6: Final answer
    x = 159,509.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.